Sign-In
Cart
Integrable Many-Particle Systems
Hardcover
ISBN13: 9781800613812
Publisher: Wspc (Europe)
Published: May 5 2023
Pages: 268
Weight: 1.16
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
It is commonly known that three or more particles interacting via a two-body potential is an intractable problem. However, similar systems confined to one dimension yield exactly solvable equations, which have seeded widely pursued studies of one-dimensional n-body problems. The interest in these investigations is justified by their rich and quantitative insights into real-world classical and quantum problems, birthing a field that is the subject of this book. Spanning four bulk chapters, this book is written with the hope that readers come to appreciate the beauty of the mathematical results concerning the models of many-particle systems, such as the interaction between light particles and infinitely massive particles, as well as interacting quasiparticles. As the book discusses several unsolved problems in the subject, it functions as an insightful resource for researchers working in this branch of mathematical physics.
In Chapter 1, the author first introduces readers to interesting problems in mathematical physics, with the prime objective of finding integrals of motion for classical many-particle systems as well as the exact solutions of the corresponding equations of motions. For these studied systems, their quantum mechanical analogue is then developed in Chapter 2. In Chapter 3, the book focuses on a quintessential problem in the quantum theory of magnetism: namely, to find all integrable one-dimensional systems involving quasiparticles of interacting one-half spins. Readers will study the integrable periodic chains of interacting one-half spins and discover the integrals of motion for such systems, as well as the eigenvectors of their corresponding Hamiltonians. In the last chapter, readers will study about integrable systems of quantum particles, with spin and mutual interactions involving rational, trigonometric, or elliptic potentials.
Also in
Physics
The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures
Gutfreund, Hanoch
Renn, Jürgen
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
Feynman's Lost Lecture: The Motion of Planets Around the Sun [With CDROM]
Goodstein, David L.
Paperback
Lost in Space: 5,000 Facts for Navigating the Universe
Walker, Lindsey Nyx
Tyson, Neil Degrasse
Hardcover
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
Beyond Darwin: How Epigenetics, Quantum Science, and Cooperation Shape Humanity's Future
Lipton, Bruce H.
Hardcover
5 Steps to a 5: AP Physics 1 2027: Practice AP Tests + AP Content Review + Digital Exams
Jacobs, Greg
Paperback
What If? 10th Anniversary Edition: Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Astronomy 101, 2nd Edition: From Gravitational Waves and Merging Black Holes to New Exoplanets and Asteroid Samples, Key Theories, Discoveries, and Fa
Petersen, Carolyn Collins
Hardcover
Just Visiting This Planet, Revised and Updated for the Twenty-First Century: Further Scientific Adventures of Merlin from Omniscia
Tyson, Neil Degrasse
Hardcover
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics and Metaphysics
Campbell, Thomas
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Leighton, Robert B.
Sands, Matthew
Feynman, Richard P.
Paperback
Princeton Review AP Physics 1 Premium Prep, 13th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
A New Science of Heaven: How the New Science of Plasma Physics Is Shedding Light on Spiritual Experience
Temple, Robert
Paperback
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Time's Second Arrow: Evolution, Order, and a New Law of Nature
Wong, Michael L.
Hazen, Robert M.
Hardcover
Take Me to Your Leader: Perspectives on Your First Alien Encounter (Large Print Edition)
Tyson, Neil DeGrasse
Hardcover
AP Physics 1 Premium, 2027: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Rideout, Kenneth, M. S.
Wolf, Jonathan, M. a. Ed M.
Paperback
James Webb's Ancient Cosmos: A Journey to the Beginning of Time
Wild, Sarah
Phd Aderin, Maggie
Hardcover
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
American Prometheus (Pulitzer Prize Winner): The Inspiration for the Major Motion Picture Oppenheimer
Bird, Kai
Sherwin, Martin J.
Paperback
The Rife Method Manual: 1,000+ Essential Rife Frequencies from A to Z and How to Use Them Safely and Effectively
Harkness, Aaron
Paperback
Strange Angel: The Otherworldly Life of Rocket Scientist John Whiteside Parsons
Pendle, George
Paperback
The Black Book of Manifestation: Hidden Secrets & Forbidden Techniques to Shape Your Reality
Sharma, Sagar
Paperback
Graph Paper Notebook 1/4 inch squares: Graph Paper Composition Book For Children and Women 8 x 10 inch, 122 Pages
Warren, Leann S.
Paperback
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Warner, Andy
Whiteson, Daniel
Hardcover
Introduction to Live Sound Reinforcement: The Science, the Art, and the Practice
Boyce, Teddy
Paperback
Zinn & the Art of Road Bike Maintenance, 6th Edition: The World's Best-Selling Bicycle Repair and Maintenance Guide
Zinn, Lennard
Paperback
From Shiva to Schrödinger: Unravelling Cosmic Secrets with Trika Shaivism & Quantum Insights
Majumdar, Mrittunjoy Guha
Paperback
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Paperback
Quantum Physics and Higher Consciousness: Unlocking the Mysteries of Reality and Awakening Your Inner Power
Silva, Mari
Hardcover
The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism
Capra, Fritjof
Paperback
Zinn and the Art of Mountain Bike Maintenance, 7th Edition: The World's Best-Selling Guide to Mountain Bike Repair
Zinn, Lennard
Paperback
Why Nobody Understands Quantum Physics: The Story of the Science That Shapes Our World
Broeckaert, Céline
Verstraete, Frank
Hardcover
Ways of Being: Animals, Plants, Machines: The Search for a Planetary Intelligence
Bridle, James
Paperback
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics, and Metaphysics
Campbell, Thomas
Paperback
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
A Brief Welcome to the Universe: A Pocket-Sized Tour
Tyson, Neil Degrasse
Gott, J. Richard
Strauss, Michael A.
Paperback
Smithsonian Atlas of Space: A Map to the Universe from the Big Bang to the Future
Launius, Roger D.
Hardcover
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
Greene, Brian
Paperback
Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Leighton, Robert B.
Sands, Matthew
Feynman, Richard P.
Paperback
Welcome to the Universe: An Astrophysical Tour
Tyson, Neil Degrasse
Strauss, Michael A.
Gott, J. Richard
Hardcover
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Moon, Peter
Nichols, Preston B.
Hardcover
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Hrabovsky, George
Susskind, Leonard
Paperback
Do Your Ears Pop in Space? and 500 Other Surprising Questions about Space Travel
Mullane, R. Mike
Paperback
The Autobiography of Nikola Tesla and Other Works (Deluxe Leatherbound Edition)
Tesla, Nikola
Martin, Thomas Commerford
Hardcover
Cosmos and Transcendence: Breaking Through the Barrier of Scientistic Belief
Smith, Wolfgang
Paperback
Fundamentals of Astrodynamics: Second Edition
White, Jerry E.
Bate, Roger R.
Mueller, Donald D.
Paperback
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
Unseen Universe: Space as You've Never Seen It Before from the James Webb Space Telescope
Harper, Caroline
Hardcover
Fantastic Numbers and Where to Find Them: A Journey to the Edge of Physics
Padilla, Antonio
Paperback
Regents Exams and Answers Physical Science Physics Fourth Edition (Barron's New York Regents)
Lazar, Miriam, M. S. Ed
Paperback
Signals from the Subatomic World: How to Build a Proton Precession Magnetometer
Hollos, Richard
Hollos, Stefan
Paperback
Alchemy of Nine Dimensions: Activating the Full Spectrum of Consciousness
Clow, Barbara Hand
Paperback
Let's Review Regents: Physical Science- Physics, Seventh Edition (Barron's NY Regents)
Lazar, Miriam A., M. S.
Tarendash, Albert, M. S.
Paperback
Time Travel in Einstein's Universe: The Physical Possibilities of Travel Through Time
Gott, J. Richard
Paperback
AP Physics C Premium, Eighth Edition: 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Farkas, Joshua, M. D.
Pelcovits, Robert A., PH. D.
Paperback
Rocket Dreams: Musk, Bezos, and the Inside Story of the New, Trillion-Dollar Space Race
Davenport, Christian
Hardcover
Analytic Idealism in a Nutshell: A Straightforward Summary of the 21st Century's Only Plausible Metaphysics
Kastrup, Bernardo
Paperback
Cosmic Queries: Startalk's Guide to Who We Are, How We Got Here, and Where We're Going
Tyson, Neil Degrasse
Hardcover
Sounds Wild and Broken: Sonic Marvels, Evolution's Creativity, and the Crisis of Sensory Extinction
Haskell, David George
Paperback
Collisions: A Physicist's Journey from Hiroshima to the Death of the Dinosaurs
Nevala-Lee, Alec
Hardcover
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
The Sound Atlas: A Guide to Strange Sounds Across Landscapes and Imagination
Vieser, Michaela
Yuen, Isaac
Hardcover
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
Relativity: The Special and the General Theory - 100th Anniversary Edition
Einstein, Albert
Paperback
Until the End of Time: Mind, Matter, and Our Search for Meaning in an Evolving Universe
Greene, Brian
Paperback
Princeton Review AP Physics C Premium Prep, 19th Edition: 4 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback